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Finding the Fourth Proportional to 4,433.76, 6,651.36 and 1,314.07

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Solution

The fourth proportional to 4,433.76, 6,651.36 and 1,314.07 is: 1,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.76 : 6,651.36 = 1,314.07 : x
  2. Step 2: Convert to fraction form
    4,433.76/6,651.36 = 1,314.07/x
  3. Step 3: Cross multiply
    4,433.76x = 6,651.36 × 1,314.07
  4. Step 4: Simplify right side
    4,433.76x = 8,740,336.01
  5. Step 5: Solve for x
    x = 8,740,336.01/4,433.76
  6. Step 6: Final answer
    x = 1,971.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.